New posts in Quotient Spaces

Are there non-homogeneous topological spaces which are "almost homogeneous" in Rudin's sense?

Can the fundamental group detect all ways to not have a section?

Proving a map in a commutative diagram is continuous.

What is the surface obtained by identifying antipodal points of $\mathbb{S}^1 \times \mathbb{S}^1$?

A "double" Möbius Strip

Grassmannian as a quotient of orthogonal or general linear group

Determining the ideals of a quotient ring

quotient topology doesn't preserve separation axioms

Why do we require quotient to be surjective?

Is $\mathbb{R}/\mathord{\sim}$ a Hausdorff space if $\{(x,y)\!:x\sim y\}$ is a closed subset of $\mathbb{R}\times\mathbb{R}$?